Table of contents : Contributors ix Preface xi Contents of Other Volumes xiii CHAPTER 1 Basic Wavefront Aberration Theory for Optical Metrology - James C. Wyant and Katherine Creath I. Sign Conventions 2 II. Aberration-Free Image 4 III. Spherical Wavefront, Defocus, and Lateral Shift 9 IV. Angular, Transverse, and Longitudinal Aberration 12 V. Seidel Aberrations 15 VI. Zernike Polynomials 28 VII. Relationship between Zernike Polynomials and Third-Order Aberrations 35 VIII. Peak-to-Valley and RMS Wavefront Aberration 36 IX. Strehl Ratio 38 X. Chromatic Aberrations 40 XI. Aberrations Introduced by Plane Parallel Plates 40 XII. Abberations of Simple Thin Lenses 46 XIII. Conics 48 XIV. General Aspheres 52 References 53 CHAPTER 2 Fast Fourier Transforms and Their Applications - John Hayes I. Introduction 56 II. The Discrete Fourier Transform (DFT) 60 III. The Fast Fourier Transform Algorithm 81 IV. The Two Dimensional Transform 93 V. Applications 101 References 123 CHAPTER 3 Optical Modeling - George N. Lawrence I. Introduction 125 II. Diffraction Phenomenology 137 III. Propagation in Homogeneous Media 150 IV. Optical Systems and Inhomogeneous Media 168 V. Aberration 178 VI. Resonators and Lasers 186 VII. Software for Optical Modeling 196 References 199 CHAPTER 4 Catalog of Spot Diagrams - S. Zhang and R. R. Shannon I. Spot Diagrams 201 II. Computation of Spot Diagrams 202 III. Spot Diagram Plots 205 IV. Geometrical Optical Transfer Function 208 V. Spot Diagram Plots 211 VI. MTF Plots 219 References 238 CHAPTER 5 Principles of Optomechanical Design - Daniel Vukobratovich I. Introduction 239 II. Control of Deflection 240 III. Athermalization 245 IV. Precision Motion 251 V. Windows 257 VI. Prism Mounting 261 VII. Small Mirror Mounting 262 VIII. Lens Mounting 265 IX. Large Mirror Mounts 272 X. Lightweight Mirrors 277 XL Conclusion 282 References 282 CHAPTER 6 The Principles and Applications of Waveguide Gratings - Laura A. Weller-Brophy I. Introduction 287 II. Coupled Mode Analysis of Periodic Waveguide Gratings 297 III. Geometrical Treatment of Periodic and Aperiodic Waveguide Gratings 327 IV. Concluding Remarks 347 References 349 Index 355